Y-4=3(X-(-2))

Solution for Y-4=3(X-(-2)) equation:

Simplifying
Y + -4 = 3(X + -1(-2))

Reorder the terms:
-4 + Y = 3(X + -1(-2))

Multiply -1 * -2
-4 + Y = 3(X + 2)

Reorder the terms:
-4 + Y = 3(2 + X)
-4 + Y = (2 * 3 + X * 3)
-4 + Y = (6 + 3X)

Solving
-4 + Y = 6 + 3X

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + Y = 6 + 4 + 3X

Combine like terms: -4 + 4 = 0
0 + Y = 6 + 4 + 3X
Y = 6 + 4 + 3X

Combine like terms: 6 + 4 = 10
Y = 10 + 3X

Simplifying
Y = 10 + 3X